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Benjamin B. Kennedy Welcome to Real Analysis (Paperback) (UK IMPORT)
US $96.77
ApproximatelyS$ 124.22
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eBay item number:365746210006
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- Welcome to Real Analysis
- EAN
- 9781470464547
- Country/Region of Manufacture
- US
- ISBN
- 9781470464547
- Genre
- Science Nature & Math
- Title
- Welcome to Real Analysis
- Subtitle
- Continuity and Calculus, Distance and Dynamics
- Release Date
- 04/30/2022
- Release Year
- 2022
About this product
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
1470464543
ISBN-13
9781470464547
eBay Product ID (ePID)
6050436056
Product Key Features
Number of Pages
370 Pages
Publication Name
Welcome to Real Analysis : Continuity and Calculus, Distance and Dynamics
Language
English
Publication Year
2022
Subject
General
Type
Textbook
Subject Area
Mathematics
Series
Ams/Maa Textbooks Ser.
Format
Trade Paperback
Dimensions
Item Height
0.9 in
Item Weight
23 Oz
Item Length
10.2 in
Item Width
7.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2021-036922
Dewey Edition
23
Series Volume Number
70
Volume Number
Vol. 70
Illustrated
Yes
Dewey Decimal
515
Table Of Content
Where we're starting and where we're going Essential tools Metric spaces Sequences Continuity Compactness and connectedness The derivative The Riemannn integral Sequences of functions Chaos in discrete dynamical systems The Hausdorff metric and fractals Bibliography Index
Synopsis
Welcome to Real Analysis is designed for use in an introductory undergraduate course in real analysis. Much of the development is in the setting of the general metric space. The book makes substantial use not only of the real line and $n$-dimensional Euclidean space, but also sequence and function spaces. Proving and extending results from ......, Welcome to Real Analysis is designed for use in an introductory undergraduate course in real analysis. Much of the development is in the setting of the general metric space. The book makes substantial use not only of the real line and $n$-dimensional Euclidean space, but also sequence and function spaces. Proving and extending results from single-variable calculus provides motivation throughout. The more abstract ideas come to life in meaningful and accessible applications. For example, the contraction mapping principle is used to prove an existence and uniqueness theorem for solutions of ordinary differential equations and the existence of certain fractals; the continuity of the integration operator on the space of continuous functions on a compact interval paves the way for some results about power series. The exposition is exceedingly clear and well-motivated. There are a wide variety of exercises and many pedagogical innovations. For example, each chapter includes Reading Questions so that students can check their understanding. In addition to the standard material in a first real analysis course, the book contains two concluding chapters on dynamical systems and fractals as an illustration of the power of the theory developed.
LC Classification Number
QA300.K46 2021
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